校際選修

115-1 選課時程

進行中

  • 初選第一階段 6/15/2026
  • 初選第二階段 6/22/2026
  • 校際選修 8/24/2026
  • 初選第三階段 8/31/2026
  • 開學後加退選 9/7/2026
  • 逾期加退選 9/21/2026
選課資源

群試理論

Group Testing

學期
114-2
學分
3 學分
當期課號
536717
永久課號
SCMA30078
開課單位
應用數學系
授課教師
傅恒霖
校區
光復
類別
選修
上課時間表
週四
5
13:20–14:10
群試理論
SA223
3 節連堂
6
14:20–15:10
7
15:30–16:20

* 根據陽明交大上課時間表所列

概述

We are aiming to introduce the notion of group testing with its various applications, especially its recent application to molecular biology screening designs. We also summarize those mathematical topics which play an important role in developing the theory of so-called pooling designs.

先修科目

Linear Algebra and Discrete Mathematics

教學方式

Mainly by lectures.

評分方式

We shall have one Homework assignment given around mid-term and a Final Project reported by the end of 16 weeks, each counts 50% of your grade. No test in this class.

週次計畫
週次主題
第 1 週What is Group Testing?
第 2 週Adaptive Algorithms (1)
第 3 週Adaptive Algorithms (2)
第 4 週Adaptive Algorithms (3)
第 5 週Non-Adaptive Algorithms (1)
第 6 週Non-Adaptive Algorithms (2)
第 7 週Non-Adaptive Algorithms (3)
第 8 週Various Models in Applications (1)
第 9 週Various Models in Applications (2)
第 10 週Various Models in Applications (3)
第 11 週Learning Hidden Graphs (1)
第 12 週Learning Hidden Graphs (2)
第 13 週Unreliable Tests (1)
第 14 週Unreliable Tests (2)
第 15 週Probabilistic Method
第 16 週Application of Combinatorial Designs
教科書

1.Pooling Designs and Nonadaptive Group Testing written by Ding-Zhu Du and Frank K. Hwang, World Scientific 2.Lecture Notes by Hung-Lin Fu

Office Hours
地點
SA 200
時間
By appointment
聯絡方式
hlfu@math.nctu.edu.tw